一种平纹编织复合材料的三维通用单胞模型

为了解决采用通用单胞(GMC)方法开展编织复合材料多尺度模拟的技术难题，发展了一种三维通用单胞模型，可用于二维平纹编织复合材料的多尺度模拟。概述了三维通用单胞方法的基本理论和求解流程；基于对二维平纹编织复合材料细观结构特征分析，建立了其三维通用单胞模型，并通过与传统有限元单胞模型的宏细观力学响应分析计算结果对比，验证了所建模型的正确性。采用基于通用单胞模型的有限元多尺度模拟方法，开展了二维平纹编织复合材料平板试件的模态分析。与试验结果对比表明，采用所建立的通用单胞模型预测得到的前五阶固有频率绝大部分的精度较传统有限元方法有了明显提升。该方法的优势在于可以基于通用单胞模型开展多尺度模拟，进而研究宏细观力学响应的相互关联。 

A 3D general method of cells model for plain weave composites

In order to solve the technical difficulty of applying the general method of cells (GMC) to develop braided composites multiscale simulation, a 3D GMC model used to multiscale simulation for 2D plain weave composites were developed. The basic theory and solution flow of the 3D GMC were outlined. Then, on the basis of the study on the meso-structural characteristics of 2D plain weave composites, its 3D GMC model was established. The correctness of the model was verified by comparison with the caculated macro- and meso-mechanical responses of the traditional finite element unit cell model. The GMC-based finite element multiscale simulation was performed on the modal analysis of 2D plain weave composites flat specimen. The test data revealed that the accuracy of the most of the first five natural frequencies predicted by the GMC model was significantly improved compared with the traditional finite element method. The advantage of this study is that multiscale simulation can be performed on the basis of the proposed 3D GMC model, helping to reveal the interaction between macro- and meso- mechanical response.